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Risk Aversion and Skewness Preference: a comment

Author

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  • Post, G.T.
  • van Vliet, P.
Abstract
Empirically, co-skewness of asset returns seems to explain a substantial part of the cross-sectional variation of mean return not explained by beta. Thisfinding is typically interpreted in terms of a risk averse representativeinvestor with a cubic utility function. This comment questions thisinterpretation. We show that the empirical tests fail to impose risk aversionand the implied utility function takes an inverse S-shape. Unfortunately, thefirst-order conditions are not sufficient to guarantee that the market portfoliois the global maximum for an inverse S-shaped utility function, and ourresults suggest that the market portfolio is more likely to represent theglobal minimum than the global maximum. In addition, if we impose riskaversion, then co-skewness has minimal explanatory power.

Suggested Citation

  • Post, G.T. & van Vliet, P., 2003. "Risk Aversion and Skewness Preference: a comment," ERIM Report Series Research in Management ERS-2003-009-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    • Handle: RePEc:ems:eureri:319
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    File URL: https://repub.eur.nl/pub/319/ERS-2003-009-F&A.pdf
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    References listed on IDEAS

    as
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    Cited by:

    1. Clark, Ephraim & Jokung, Octave & Kassimatis, Konstantinos, 2011. "Making inefficient market indices efficient," European Journal of Operational Research, Elsevier, vol. 209(1), pages 83-93, February.
    2. Smith, Daniel R., 2007. "Conditional coskewness and asset pricing," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 91-119, January.
    3. Belghitar, Yacine & Clark, Ephraim & Kassimatis, Konstantino, 2011. "The prudential effect of strategic institutional ownership on stock performance," International Review of Financial Analysis, Elsevier, vol. 20(4), pages 191-199, August.

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    More about this item

    Keywords

    asset pricing; representative investor; risk aversion; skewness preference; three-moment model;
    All these keywords.

    JEL classification:

    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other
    • G3 - Financial Economics - - Corporate Finance and Governance
    • M - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics
    • M41 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Accounting - - - Accounting

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